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Finding the Third Proportional to 31,358 and 67,087

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Solution

The third proportional to 31,358 and 67,087 is: 143,525.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,358 : 67,087 = 67,087 : x
  2. Step 2: Convert to fraction form
    31,358/67,087 = 67,087/x
  3. Step 3: Cross multiply
    31,358x = 67,087 × 67,087
  4. Step 4: Simplify right side
    31,358x = 4,500,665,569
  5. Step 5: Solve for x
    x = 4,500,665,569/31,358
  6. Step 6: Final answer
    x = 143,525.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.